113331330032130 has 240 divisors, whose sum is σ = 344571931005120. Its totient is φ = 25842459246912.

The previous prime is 113331330032117. The next prime is 113331330032177. The reversal of 113331330032130 is 31230033133311.

113331330032130 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 1 + 3 + 300 + 321 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113331330032094 and 113331330032103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89915859 + ... + 91167561.

It is an arithmetic number, because the mean of its divisors is an integer number (1435716379188).

Almost surely, 2^{113331330032130} is an apocalyptic number.

113331330032130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113331330032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172285965502560).

113331330032130 is an abundant number, since it is smaller than the sum of its proper divisors (231240600972990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113331330032130 is a wasteful number, since it uses less digits than its factorization.

113331330032130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252163 (or 1252139 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 113331330032130 its reverse (31230033133311), we get a palindrome (144561363165441).

The spelling of 113331330032130 in words is "one hundred thirteen trillion, three hundred thirty-one billion, three hundred thirty million, thirty-two thousand, one hundred thirty".